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Finding the Fourth Proportional to 368.26, 552.57 and 206.02

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Solution

The fourth proportional to 368.26, 552.57 and 206.02 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.26 : 552.57 = 206.02 : x
  2. Step 2: Convert to fraction form
    368.26/552.57 = 206.02/x
  3. Step 3: Cross multiply
    368.26x = 552.57 × 206.02
  4. Step 4: Simplify right side
    368.26x = 113,840.47
  5. Step 5: Solve for x
    x = 113,840.47/368.26
  6. Step 6: Final answer
    x = 309.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.